Homogeneous Equation

An equation in which every term has the same degree is called a homogeneous equation. For instance $x^2+3xy=0$, $7xy-2y^2=0$, and $5x^2+3xy-2y^2=0$ are all homogeneous, because in each case every term listed has degree two. By contrast, $3x^2+2xy+2y^2+5x=0$ is not homogeneous, because the term $5x$ has degree one while the other terms have degree two -- the degrees are not all equal. …